Question

If (-x^2 + y^2) is subtracted from (x^2 + y^2), the difference is

Answer 1

Answer:

If $(-x^2 + y^2)$ is subtracted from $(x^2 + y^2)$, the difference is: $\mathbf{2x^2}$

Option A is correct option.

Step-by-step explanation:

If $(-x^2 + y^2)$ is subtracted from $(x^2 + y^2)$, we need to find the difference.

When finding the difference the term after from comes first.

We can write:

$(x^2 + y^2)-(-x^2 + y^2)$

Now finding difference:

Multiply minus sign with terms inside the bracket

$=x^2 + y^2+x^2 - y^2$

Now combine the like terms

$x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2$

So, If $(-x^2 + y^2)$ is subtracted from $(x^2 + y^2)$, the difference is: $\mathbf{2x^2}$

Option A is correct option.